0554516 20250310153352.620220227235959.9 85125268844 000795866800002 10.1016/j.apm.2022.01.028 22 s. P cav_un_epca*02520560307-904X1061 (2022)426-447Elsevier Magnetic actuation Non-simple materials Distributed torques Variational convergence Size effects cav_un_auth*0427574 Ciambella J. IT 33 cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 34 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0425668 Tomassetti G. IT 33 K http://library.utia.cas.cz/separaty/2022/MTR/kruzik-0554516.pdf https://www.sciencedirect.com/science/article/pii/S0307904X22000592?via%3Dihub GF19-29646L GA ČR CZ cav_un_auth*0385134 Starting from a two-dimensional theory of magneto-elasticity for fiber-reinforced magnetic elastomers we carry out a rigorous dimension reduction to derive a rod model that describes a thin magneto-elastic strip undergoing planar deformations. The main features of the theory are the following: a magneto-elastic interaction energy that manifests itself through a distributed torque, a penalization term that prevents local interpenetration of matter, a regularization term that depends on the second gradient of the deformation and models microstructure-induced size effects. As an application, we consider a problem involving magnetically-induced buckling and we study how the intensity of the field at the onset of the instability increases if the length of the rod is decreased. Finally, we assess the accuracy of the deduced model by performing numerical simulations where we compare the two-dimensional and the one-dimensional theories in some special cases, and we observe excellent agreement. WOS BA 10000 10100 10101 2023 3 2 R hod 4 4rh 4 20250310150218.4 4 20250310153352.6 RVO:67985556 http://hdl.handle.net/11104/0330287 S 3+4 Article Engineering Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics C MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|ENGINEERING.MULTIDISCIPLINARY|MECHANICS 4.5 1.1 5.9 0.02256 0.873 27227 1.08 4.600 518 Q1 86.1 Q2 Q2 1.69 Q1 91.1 2022 Soubory v repozitáři: kruzik-0554516.pdf 85125268844 SCOPUS PUBMED 000795866800002 WOS cav_un_epca*0252056 Applied Mathematical Modelling 0307-904X 1872-8480 Roč. 106 č. 1 2022 426 447 Elsevier